Correlations for Volumetric Fractions of Each Phase of Developed Steady Solid-Fluids Multiphase Flows in Vertical Pipes

Abstract

A general correlation has been proposed to estimate various flow characteristic quantities of developed gas-liquid two-phase steady flows, such as void fraction, lengths of large bubble and passing frequency of large bubble in slug flows, film thickness in annular flows, and so on. The concept used in this derivation is extended to derive correlations for volumetric fractions of each phase in developed steady solid-fluids multiphase flows. Empirical correlations are proposed for volumetric fractions of each phase in liquid-solid two-phase flows, and in gas-liquid-solid three-phase flows using experimental data obtained from various kinds of experimental conditions.